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Sunday 18 March 2018

# Number systems

Part of the Number Strand is working with different number systems:

•N: The set of natural numbers, N = {1, 2, 3, 4, ...}

•Z: The set of integers, Z = {..., -2, -1, 0, 1, 2, ...}

•Q: The set of rational numbers, i.e. any number that can be expressed as a fraction

•R: The set of real numbers

The question set out below involves working with rational numbers (i.e. fractions), you have been given a practical scenario and will need to use operations of addition, subtraction, multiplication and division of fractions in order to solve the problem.

Sample question

Sheila orders two pizzas to divide evenly between herself and five friends.

(a)What fraction of a pizza will each person get? Write your fraction in its simplest form.

2 = 1

6 3

(b)One of the friends gets a text and leaves before the pizza is delivered. What fraction will each person now get if the pizzas are divided evenly between those remaining?

2

5

(c)Find how much extra pizza each person gets.

2 - 2 = 12 - 10 = 12 - 10 = 2 = 1

5 6 30 30 30 30 15

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